Sure, let's solve the inequality step by step:

First, distribute the -2 on the right side of the inequality: -2(p + 2) + 4p becomes -2p - 4 + 4p.

Simplify the right side of the inequality: -2p - 4 + 4p simplifies to 2p - 4.

So, the inequality now is: 20 - 2p > 2p - 4.

Add 2p to both sides of the inequality to get all the p terms on one side: 20 - 2p + 2p > 2p - 4 + 2p simplifies to 20 > 4p - 4.

Add 4 to both sides of the inequality to isolate the term with p on one side: 20 + 4 > 4p - 4 + 4 simplifies to 24 > 4p.

Finally, divide both sides of the inequality by 4 to solve for p: 24/4 > 4p/4 simplifies to 6 > p.

So, the solution to the inequality 20 - 2p > -2(p + 2) + 4p is p < 6.

Question

Sure, let's solve the inequality step by step:

1. First, distribute the -2 on the right side of the inequality: -2(p + 2) + 4p becomes -2p - 4 + 4p.

2. Simplify the right side of the inequality: -2p - 4 + 4p simplifies to 2p - 4.

3. So, the inequality now is: 20 - 2p > 2p - 4.

4. Add 2p to both sides of the inequality to get all the p terms on one side: 20 - 2p + 2p > 2p - 4 + 2p simplifies to 20 > 4p - 4.

5. Add 4 to both sides of the inequality to isolate the term with p on one side: 20 + 4 > 4p - 4 + 4 simplifies to 24 > 4p.

6. Finally, divide both sides of the inequality by 4 to solve for p: 24/4 > 4p/4 simplifies to 6 > p.

So, the solution to the inequality 20 - 2p > -2(p + 2) + 4p is p < 6.

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